Information on Result #747393
Digital (110, 253, 57)-net over F2, using net from sequence based on digital (110, 56)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 8 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (111, 253, 57)-net over F2 | [i] | t-Expansion | |
| 2 | Digital (112, 253, 57)-net over F2 | [i] | ||
| 3 | Digital (113, 253, 57)-net over F2 | [i] | ||
| 4 | Digital (114, 253, 57)-net over F2 | [i] | ||
| 5 | Digital (115, 253, 57)-net over F2 | [i] | ||
| 6 | Digital (116, 253, 57)-net over F2 | [i] | ||
| 7 | Digital (117, 253, 57)-net over F2 | [i] | ||
| 8 | Digital (118, 253, 57)-net over F2 | [i] | ||
| 9 | Digital (119, 253, 57)-net over F2 | [i] | ||
| 10 | Digital (120, 253, 57)-net over F2 | [i] | ||
| 11 | Digital (121, 253, 57)-net over F2 | [i] | ||
| 12 | Digital (122, 253, 57)-net over F2 | [i] | ||
| 13 | Digital (123, 253, 57)-net over F2 | [i] | ||
| 14 | Digital (124, 253, 57)-net over F2 | [i] | ||
| 15 | Digital (125, 253, 57)-net over F2 | [i] | ||
| 16 | Digital (126, 253, 57)-net over F2 | [i] | ||
| 17 | Digital (127, 253, 57)-net over F2 | [i] | ||
| 18 | Digital (128, 253, 57)-net over F2 | [i] | ||
| 19 | Digital (129, 253, 57)-net over F2 | [i] | ||
| 20 | Linear OOA(2253, 57, F2, 6, 143) (dual of [(57, 6), 89, 144]-NRT-code) | [i] | Extracting Embedded OOA | |
| 21 | Linear OOA(2253, 57, F2, 7, 143) (dual of [(57, 7), 146, 144]-NRT-code) | [i] | ||
| 22 | Linear OOA(2253, 57, F2, 8, 143) (dual of [(57, 8), 203, 144]-NRT-code) | [i] | ||